What is factor 27x^3-64y^3 ?

The solution to factor 27x^3-64y^3 is (3x-4y)(9x^2+12xy+16y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 27x^3-64y^3

factor

27 x^{3} - 64 y^{3}

(3 x - 4 y) (9 x^{2} + 12 x y + 16 y^{2})

Solution steps

27 x^{3} - 64 y^{3}

Apply exponent rules

= (3 x)^{3} - (4 y)^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(3 x)^{3} - (4 y)^{3} = (3 x - 4 y) ((3 x)^{2} + 3 x \cdot 4 y + (4 y)^{2})

= (3 x - 4 y) ((3 x)^{2} + 3 x \cdot 4 y + (4 y)^{2})

Simplify

(3 x)^{2} + 3 x \cdot 4 y + (4 y)^{2} : 9 x^{2} + 12 x y + 16 y^{2}

= (3 x - 4 y) (9 x^{2} + 12 x y + 16 y^{2})

1 6^{\frac{- 2}{3}}

3 x + 3 = x + 7

\frac{7}{10} + \frac{3}{4}

2 x^{2} - 9 x + 4

x^{2} + 7 x - 3 = - 4 x - 21

What is factor 27x^3-64y^3 ?
The solution to factor 27x^3-64y^3 is (3x-4y)(9x^2+12xy+16y^2)